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Finding the Third Proportional to 260,849 and 549,714

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Solution

The third proportional to 260,849 and 549,714 is: 1,158,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,849 : 549,714 = 549,714 : x
  2. Step 2: Convert to fraction form
    260,849/549,714 = 549,714/x
  3. Step 3: Cross multiply
    260,849x = 549,714 × 549,714
  4. Step 4: Simplify right side
    260,849x = 302,185,481,796
  5. Step 5: Solve for x
    x = 302,185,481,796/260,849
  6. Step 6: Final answer
    x = 1,158,469.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.